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Finding the Fourth Proportional to 2,364, 3,546.72 and 825

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Solution

The fourth proportional to 2,364, 3,546.72 and 825 is: 1,237.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364 : 3,546.72 = 825 : x
  2. Step 2: Convert to fraction form
    2,364/3,546.72 = 825/x
  3. Step 3: Cross multiply
    2,364x = 3,546.72 × 825
  4. Step 4: Simplify right side
    2,364x = 2,926,044
  5. Step 5: Solve for x
    x = 2,926,044/2,364
  6. Step 6: Final answer
    x = 1,237.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.